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Finding the Third Proportional to 229,311 and 337,226

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Solution

The third proportional to 229,311 and 337,226 is: 495,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,311 : 337,226 = 337,226 : x
  2. Step 2: Convert to fraction form
    229,311/337,226 = 337,226/x
  3. Step 3: Cross multiply
    229,311x = 337,226 × 337,226
  4. Step 4: Simplify right side
    229,311x = 113,721,375,076
  5. Step 5: Solve for x
    x = 113,721,375,076/229,311
  6. Step 6: Final answer
    x = 495,926.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.